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Mathematics 12 Online
OpenStudy (anonymous):

The point P(4,6) lies on the curve y=sqrt(x)+4. Let q be the point (x,sqrt(x)+4). Find the slope of the secant line pq for the following values of x. A.) If x=4.1, then the slope of PQ is? If x=4.01 the slope of PQ is? If x=3.9, the slope of PQ is? If x=3.99 the slope of PQ is? B.) Based on the above results, estimate the slope of the tangent line to the curve P(4,6).

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